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An Explicit Midpoint Algorithm for Nonexpansive Semigroup in smooth Banach Spaces | ||
| Theory of Approximation and Applications | ||
| مقاله 11، دوره 15، شماره 1، مرداد 2021، صفحه 127-139 اصل مقاله (545.87 K) | ||
| نوع مقاله: Research Articles | ||
| نویسندگان | ||
| Hamid reza Sahebi* 1؛ Andreea Fulga2 | ||
| 1Department of Mathematics, Ashtian Branch, Islamic Azad university, Ashtian, Iran. | ||
| 2Department of Mathematics and Computer Science, Faculty of Mathematics and Computer Science, Universitatea Transilvania Brasov, Brasov, Romania. | ||
| چکیده | ||
| In this paper, we introduce a new iterative midpoint rule for finding a solution of fixed point problem for a non-expansive semigroup in smooth Banach spaces. We establish a strong convergence theorem for the sequences generated by our proposed iterative scheme. A numerical example present to illustrate the convergence result. Our results improve and extend the corresponding results in the literature. | ||
| کلیدواژهها | ||
| Non-expansive semigroup؛ equilibrium problem؛ midpoint method؛ fixed point؛ smooth Banach space | ||
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آمار تعداد مشاهده مقاله: 52 تعداد دریافت فایل اصل مقاله: 55 |
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